Solving Equations with Rational Coefficients and Distribution

9.6 = 1.2b

• b = 8

• b = 9

• b = 10

• b = 7

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

If the coefficient of the variable is a fraction, dividing both sides by a fraction is the same as...

• dividing by a whole number

• subtracting the fraction

• using order of operations

• multiplying by the reciprocal

Solve the equation. Check your solution.

• -90

• 90

• -40

• -180

Write an equation AND solve.

Three fourths of the fruit in a refrigerator are apples. There are 24 apples in the refrigerator. How many pieces of fruit are in the refrigerator?

• ¾ n = 24 ; 18 pieces of fruit

• ¾ n = 24 ; 8 pieces of fruit

• ¾ n = 24 ; 32 pieces of fruit

• ¾ (24) = n ; 18 pieces of fruit

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides

• Add the 2a and a 

• Distribute 4 to a and -5

• Distribute -4 to a and -5

What is the next step to solve this equation?
3x - 5 = 7

• Add 5 to both sides of the equation

• Add 3x to both sides of the equation

• Subtract 5 from both sides of the equation

• Subtract 7 from both sides of the equation

What is the first step to solve this equation?
3n - 4 = -2 + 2n 

• Add 2n to both sides of the equation

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the next step to solve this equation?
n - 4 = -2

• Add 4 to both sides of the equation

• Add n to both sides of the equation

• Subtract n from both sides of the equation

• Subtract 4 from both sides of the equation

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16